-6x2 +23x +4 = 0
ax2 bx c = 0
a = -6
b = 23
c = 4
Δ = b2-4ac
Δ = 23² - (4 * -6 * 4)
Δ = 529 - (4*-24)
Δ = 529 - (-96)
Δ = 625 Δ > 0
-6x2+23x+4=0
x = -b ∓ √Δ 2a
x' = -23 - √625 2*-6 = -23 - 25.0 -12 = -48.0 -12 = 4.0
x" = -23 + √625 2*-6 = -23 + 25.0 -12 = 2.0 -12 = -0.166666666667
x' = 144.0
x" = -6.0
S = {x ∈ R / x' = 144.0, x" = -6.0 }